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Finding the Fourth Proportional to 9,631, 14,446.91 and 3,057.04

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Solution

The fourth proportional to 9,631, 14,446.91 and 3,057.04 is: 4,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631 : 14,446.91 = 3,057.04 : x
  2. Step 2: Convert to fraction form
    9,631/14,446.91 = 3,057.04/x
  3. Step 3: Cross multiply
    9,631x = 14,446.91 × 3,057.04
  4. Step 4: Simplify right side
    9,631x = 44,164,781.75
  5. Step 5: Solve for x
    x = 44,164,781.75/9,631
  6. Step 6: Final answer
    x = 4,585.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.